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GATE 2019: G-19 Revision Fluid Mechanics Live Quiz

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Question 1

A plate 1 mm distance from a fixed plate, is moving at 500 mm/s by a force induces a shear stress of 0.3 kg(f)/m2. The kinematic viscosity of the fluid (mass density 1000 kg/m3) flowing between two plates (in Stokes) is ________.

Question 2

A liquid with specific gravity of 0.94 undergoes a reduction in volume of 0.22% when subjected to an increase in pressure of 1400 kPa. The velocity of propagation of sound in this liquid will be ___________m/s.

Question 3

The total hydraulic force (in kN) on the following gate of quadruple circle shape of radius 4 m is (Assume the width of curve portion perpendicular to paper is 3 m)



Question 4

A stream function is given by: Ψ = 2xy + (x+1)y . The flow rate across a line joining points which are obtained by intersection of lines  x+2y = 2 and x + y =1, and the intersection of the lines 2x + y = 3 and x + y = 2 ________.

Question 5

A Pitot-static (C=1) is used to measure the velocity of water. The differential manometer reading is 20 mm of liquid column with a relative density 12 (g = 9.8 m/s2), the velocity of water (m/s) is ________.

Question 6

In a 0.18 m diameter, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in kW) is_______.

Question 7

A fluid has an absolute viscosity of 0.05 Pa s and a specific gravity of 0.68. When such a fluid flows over a flat plate, the velocity at a point 75 mm from the surface is 1.25m/s. Assuming parabolic velocity distribution with the vertex at the above said point, the shear stress (in N/m2) at 50 mm from the boundary surface will be

Question 8

The blade inlet and outlet velocity triangle for impulse turbine is shown in figure. At the inlet of turbine rotor the blade linear speed is 30 m/s. The magnitude of absolute velocity at inlet and outlet is 120 m/s and 70 m/s respectively.
The hydraulic efficiency (in %) is
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